But even with some republican members of the committee testing positive for covid-19 10 days ago,

the senate is moving forward.

There's nothing unconstitutional about this process,

this is a vacancy that's occurred though a tragic loss of a great woman, and we're going to fill that

vacancy with another great woman.

Democrats say Trump is rushing to seat Barrett for two reasons coming up in just the next month.

但即使委员会的一些共和党成员 10天前新冠肺炎检测阳性，参议员工作继续。

有3个疑问：

1)检测阳性，应该是被检测阳性。 所以，应该是 with some republican members of the committee being tested positive 吗？

2)occure是不及物动词，所以这里的that's occurred = that has occured 吗？而不是 that is occured ?

3)coming up in just the next month. 是Barret的定语，而非伴随状语吧？

麻烦老师详解以上3个问题，非常感谢！